mat188_PT1

Factor the expression completely. Begin by factoring out the lowest power of each common factor. 231% _ 2)?\" _ 33:4\"(1 _ 2) #3 Type the factored form using the Equation | Editor. {amle: :1f3(3:c1] m 01" [38] \"3 Sirn plify the expression. 52:{m+e)'10m2[z+6}3 [:-."+li~]E Type the simplified form using the Equation Editor. 53(63} (3+6? A be: with a square base and ma top is tb be made from a square piece of cardboard by cutting 4-inch squares from each corner and folding up the sides. as shown in the figure. The ban: is to held 4m cubic inches. Haw big a piece of cardboard is needed? Solve the equation: (4x - 5)2 = 5 Type solutions in the form a + 6z using the Equation Editor.Find all solutions of the quadratic equation: a2 + 8x + 17 = 0 Simplify completely to the form a + 6. Type the solutions as a comma- separated list using the Equation Editor.4+2, -4-i Find all solutions of the equation: 5 15 x-2 +4=0 Type solutions as a comma-separated list using the Equation Editor. If there is no solution, type "no solution" in the answer box.Find all real solutions of the equation: x6 - 63x3 - 64 = 0 Type the solutions as a comma-separated list using the Equation Editor.Solve the nonlinear inequality: (3 7)(:I:)(:1:+5)2> 0 Type the solution in interval notation using the Equation Editor. A large koi pond is filled from a garden hose at a rate of 14 gallons per minute. Initially, the pond contains 200 gal of water. a) Find a linear function Vthat models the volume of water in the pond at any time t. bl If the pond has a capacity of 1334 gallons, how long does it take to completely fill the pond? Label each part in your answer. Use the Equation Editor. Suppose the graph of f is given. a) Describe how the graph of y : f(:c + 5) + 2can be obtained from the graph of f. b) Describe how the graph of y = f($ 6) 3can be obtained from the graph of f. {In other words, what are the transformations?) Label the parts in your answer. Given f (ac) = lac , write the equation for the final graph once the following transformations are applied in the given order: 1. Shrink vertically by a factor of 2. Shift to the left 4 units 3. Shift upwards 9 units Given the following functions: g(a) = 2x + 8 Find: a) (g - f) (a) b) (go f) (a) Label each part in your answer. Use the Equation Editor